1.8 Two waves on a string are given by the following functions: y₁(x, 1) = 4 cos(20t - 30x) y2(x, 1) = -4 cos(20t + 30x)

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1 8 Two Waves On A String Are Given By The Following Functions Y X 1 4 Cos 20t 30x Y2 X 1 4 Cos 20t 30x 1 (29.85 KiB) Viewed 20 times

1.8 Two waves on a string are given by the following functions: y₁(x, 1) = 4 cos(20t - 30x) y2(x, 1) = -4 cos(20t + 30x) (cm) (cm) where x is in centimeters. The waves are said to interfere constructively when their superposition [ys] = [y1 + y2] is a maximum, and they interfere destructively when [y] is a minimum. *(a) What are the directions of propagation of waves y₁(x, t) and y₂(x, t)? (b) At t = (π/50) s, at what location x do the two waves interfere constructively, and what is the corresponding value of lys?